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Finding the Third Proportional to 401,433 and 881,562

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Solution

The third proportional to 401,433 and 881,562 is: 1,935,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,433 : 881,562 = 881,562 : x
  2. Step 2: Convert to fraction form
    401,433/881,562 = 881,562/x
  3. Step 3: Cross multiply
    401,433x = 881,562 × 881,562
  4. Step 4: Simplify right side
    401,433x = 777,151,559,844
  5. Step 5: Solve for x
    x = 777,151,559,844/401,433
  6. Step 6: Final answer
    x = 1,935,943.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.